1100120200120 has 64 divisors (see below), whose sum is σ = 2487141054720. Its totient is φ = 437938980864.

The previous prime is 1100120200117. The next prime is 1100120200139. The reversal of 1100120200120 is 210020210011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1100120200097 and 1100120200106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31711104 + ... + 31745776.

It is an arithmetic number, because the mean of its divisors is an integer number (38861578980).

Almost surely, 2^{1100120200120} is an apocalyptic number.

1100120200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100120200120 is an abundant number, since it is smaller than the sum of its proper divisors (1387020854600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100120200120 is a wasteful number, since it uses less digits than its factorization.

1100120200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38464 (or 38460 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1100120200120 its reverse (210020210011), we get a palindrome (1310140410131).

The spelling of 1100120200120 in words is "one trillion, one hundred billion, one hundred twenty million, two hundred thousand, one hundred twenty".